Idempotent operators on a finite chain

  1. Mas Grimalt, Margarita
  2. Torrens Sastre, Joan
  3. Calvo Sánchez, Tomasa
  4. Carbonell Huguet, Marc
Revista:
Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology

ISSN: 1134-5632

Ano de publicación: 1999

Volume: 6

Número: 2-3

Páxinas: 235-247

Tipo: Artigo

Outras publicacións en: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology

Resumo

This work is devoted to find and study some possible idempotent operators on a finite chain L. Specially, all idempotent operators on L which are associative, commutative and non-decreasing in each place are characterized. By adding one smoothness condition, all these operators reduce to special combinations of Minimum and Maximum.